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Finding the Fourth Proportional to 9,672.78, 14,506 and 3,097.40

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Solution

The fourth proportional to 9,672.78, 14,506 and 3,097.40 is: 4,645.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.78 : 14,506 = 3,097.40 : x
  2. Step 2: Convert to fraction form
    9,672.78/14,506 = 3,097.40/x
  3. Step 3: Cross multiply
    9,672.78x = 14,506 × 3,097.40
  4. Step 4: Simplify right side
    9,672.78x = 44,930,884.40
  5. Step 5: Solve for x
    x = 44,930,884.40/9,672.78
  6. Step 6: Final answer
    x = 4,645.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.